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Simplifying 1(x + 5) + -3(x + -2) = (x + 3) + 4 Reorder the terms: 1(5 + x) + -3(x + -2) = (x + 3) + 4 (5 * 1 + x * 1) + -3(x + -2) = (x + 3) + 4 (5 + 1x) + -3(x + -2) = (x + 3) + 4 Reorder the terms: 5 + 1x + -3(-2 + x) = (x + 3) + 4 5 + 1x + (-2 * -3 + x * -3) = (x + 3) + 4 5 + 1x + (6 + -3x) = (x + 3) + 4 Reorder the terms: 5 + 6 + 1x + -3x = (x + 3) + 4 Combine like terms: 5 + 6 = 11 11 + 1x + -3x = (x + 3) + 4 Combine like terms: 1x + -3x = -2x 11 + -2x = (x + 3) + 4 Reorder the terms: 11 + -2x = (3 + x) + 4 Remove parenthesis around (3 + x) 11 + -2x = 3 + x + 4 Reorder the terms: 11 + -2x = 3 + 4 + x Combine like terms: 3 + 4 = 7 11 + -2x = 7 + x Solving 11 + -2x = 7 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 11 + -2x + -1x = 7 + x + -1x Combine like terms: -2x + -1x = -3x 11 + -3x = 7 + x + -1x Combine like terms: x + -1x = 0 11 + -3x = 7 + 0 11 + -3x = 7 Add '-11' to each side of the equation. 11 + -11 + -3x = 7 + -11 Combine like terms: 11 + -11 = 0 0 + -3x = 7 + -11 -3x = 7 + -11 Combine like terms: 7 + -11 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333
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